Which of the following represents the set of possible rational roots for the polynomial shown below?
2^2+ 5^2 – 8x– 10 = 0

plus or minus 1, 1/2, 2, 5, 5/2, and 10

Explanation:

To find the possible roots

We first find the factor of the constant term:

10: 1, 2, 5, 10

Then we find the factor of leading coefficient:

2: 1, 2

And the possible rational roots are:

Plus or minus [1/1, 1/2, 2/1, 2/2, 5/1, 5/2, 10/1, 10/2]

Then we get rid of the duplicate:

Plus or minus [1, 1/2, 2, 5, 5/2, 10]